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The asymptotic analysis of kinetic models describing the behavior of particles interacting through alignment is performed. We will analyze the asymptotic regime corresponding to large alignment frequency where the alignment effects are…

Analysis of PDEs · Mathematics 2017-01-16 M. Bostan , J. A. Carrillo

We study a model of interacting random walkers that proposes a simple mechanism for the emergence of cooperation in group of individuals. Each individual, represented by a Brownian particle, experiences an interaction produced by the local…

Statistical Mechanics · Physics 2007-05-23 Fabio Cecconi , Giuseppe Gonnella , Gustavo P. Saracco

Many types of mammalian cells exert active contractile forces and mechanically deform their elastic substrate, to accomplish biological functions such as cell migration. These substrate deformations provide a mechanism by which cells can…

Soft Condensed Matter · Physics 2022-02-22 Subhaya Bose , Patrick S. Noerr , Ajay Gopinathan , Arvind Gopinath , Kinjal Dasbiswas

We propose a dynamic model for a system consisting of self-propelled agents in which the influence of an agent on another agent is weighted by geographical distance. A parameter $\alpha$ is introduced to adjust the influence: the smaller…

Physics and Society · Physics 2015-06-24 Han-Xin Yang , Tao Zhou , Liang Huang

We study self-propelled particles with velocity reversal interacting by uniaxial (nematic) alignment within a coarse-grained hydrodynamic theory. Combining analytical and numerical continuation techniques, we show that the physics of this…

Statistical Mechanics · Physics 2016-11-30 Robert Großmann , Fernando Peruani , Markus Bär

We derive a class of macroscopic differential equations that describe collective adaptation, starting from a discrete-time stochastic microscopic model. The behavior of each agent is a dynamic balance between adaptation that locally…

Adaptation and Self-Organizing Systems · Physics 2024-05-15 Yuzuru Sato , Eizo Akiyama , James P. Crutchfield

Dense assemblies of self-propelled particles undergo a nonequilibrium form of glassy dynamics. Physical intuition suggests that increasing departure from equilibrium due to active forces fluidifies a glassy system. We falsify this belief by…

Soft Condensed Matter · Physics 2017-12-08 Ludovic Berthier , Elijah Flenner , Grzegorz Szamel

Self-propelled particles can navigate complex environments, including viscous fluid interfaces with curved geometries. In this work, we study the emergent dynamics of a suspension of self-propelled particles confined to a stationary curved…

Fluid Dynamics · Physics 2026-04-17 Yuzhu Chen , Vishal P. Patil , David Saintillan

We investigate the effect of cooperative interactions in an ensemble of microorganisms, modelled as self-propelled disk-like and rod-like particles, in a three-dimensional turbulent flow to show flocking as an emergent phenomenon. Building…

Soft Condensed Matter · Physics 2020-05-20 Anupam Gupta , Amal Roy , Arnab Saha , Samriddhi Sankar Ray

In a system of noisy self-propelled particles with interactions that favor directional alignment, collective motion will appear if the density of particles is beyond a critical density. Starting with a reduced model for collective motion,…

Soft Condensed Matter · Physics 2011-03-23 Chiu Fan Lee

We consider the hydrodynamic theory of an active fluid of self-propelled particles with nematic aligning interactions. This class of materials has polar symmetry at the microscopic level, but forms macrostates of nematic symmetry. We…

Soft Condensed Matter · Physics 2012-04-17 Aparna Baskaran , M. Cristina Marchetti

We numerically studied active Brownian particles with attractive interactions. Contrary to our intuition, the attractive force between particles disrupts the formation of a single cluster observed in motility-induced phase separation,…

Soft Condensed Matter · Physics 2025-05-27 Sota Shimamura , Nen Saito , Shuji Ishihara

We introduce a system of self-propelled agents (active Brownian particles) with velocity alignment in two spatial dimensions and derive a mean-field theory from the microscopic dynamics via a nonlinear Fokker-Planck equation and a moment…

Statistical Mechanics · Physics 2011-09-26 Pawel Romanczuk , Lutz Schimansky-Geier

We propose a dynamical model for group formation and switching behavior in systems where each group competes for members through attraction functions that are inversely proportional to their current sizes. This attraction is modulated by…

Dynamical Systems · Mathematics 2026-03-12 Samit Ghosh

The collective motion of chemically active particles at an air-liquid interface is studied theoretically as a dynamic self-organization problem. Based on a physical consideration, we propose a minimal model for self-propelled particles by…

Soft Condensed Matter · Physics 2022-05-10 Shun Imamura , Toshihiro Kawakatsu

We have developed an experimental setup of very simple self-propelled robots to observe collective motion emerging as a result of inelastic collisions only. A circular pool and commercial RC boats were the basis of our first setup, where we…

We show how the interplay of non-linear dynamics, self-gravity, and fluctuations leads to self-affine behavior of matter density correlations quite generically, i.e., with a power-law exponent whose value does not depend in a very direct…

Astrophysics · Physics 2007-05-23 A. Dominguez , D. Hochberg , J. M. Martin-Garcia , J. Perez-Mercader , L. S. Schulman

While the collective motion of active particles has been studied extensively, effective strategies to navigate particle swarms without external guidance remain elusive. We introduce a method to control the trajectories of two-dimensional…

Soft Condensed Matter · Physics 2023-08-28 Sophie Y. Lee , Philipp W. A. Schönhöfer , Sharon C. Glotzer

Self-organization is the generation of order out of local interactions in non-equilibrium [1]. It is deeply connected to all fields of science from physics, chemistry to biology where functional living structures self-assemble[2] and…

Soft Condensed Matter · Physics 2018-10-24 Utsab Khadka , Viktor Holubec , Haw Yang , Frank Cichos

Active matter systems provide fascinating examples of pattern formation and collective motility without counterparts in equilibrium systems. Here, we employ Brownian dynamics simulations to study the collective motion and self-organization…

Soft Condensed Matter · Physics 2021-12-20 Leila Abbaspour , Ali Malek , Stefan Karpitschka , Stefan Klumpp
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